Price
53940
3932.8
30334
23606
Color of Diamonds
Clarity of Diamonds
Summary
Call:
glm(formula = price ~ clarity + color + cut + depth, family = inverse.gaussian(link = "log"),
data = diamonds)
Deviance Residuals:
Min 1Q Median 3Q Max
-0.051828 -0.023033 -0.007450 0.004268 0.058727
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 8.548446 0.232441 36.777 < 2e-16 ***
claritySI2 0.265599 0.042885 6.193 5.94e-10 ***
claritySI1 0.031997 0.042118 0.760 0.4474
clarityVS2 -0.003939 0.042213 -0.093 0.9257
clarityVS1 -0.017628 0.042783 -0.412 0.6803
clarityVVS2 -0.090097 0.043568 -2.068 0.0386 *
clarityVVS1 -0.342667 0.043812 -7.821 5.32e-15 ***
clarityIF -0.207875 0.047203 -4.404 1.07e-05 ***
colorE -0.038185 0.015346 -2.488 0.0128 *
colorF 0.182064 0.016178 11.253 < 2e-16 ***
colorG 0.272189 0.015965 17.049 < 2e-16 ***
colorH 0.292381 0.017251 16.949 < 2e-16 ***
colorI 0.426022 0.020272 21.015 < 2e-16 ***
colorJ 0.489487 0.026670 18.354 < 2e-16 ***
cutGood -0.069376 0.033264 -2.086 0.0370 *
cutVery Good -0.044312 0.031616 -1.402 0.1611
cutPremium 0.049652 0.032058 1.549 0.1214
cutIdeal -0.168951 0.031003 -5.450 5.07e-08 ***
depth -0.007137 0.003540 -2.016 0.0438 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for inverse.gaussian family taken to be 0.0003049347)
Null deviance: 21.658 on 53939 degrees of freedom
Residual deviance: 20.743 on 53921 degrees of freedom
AIC: 989018
Number of Fisher Scoring iterations: 10
Analysis of Deviance Table
Model: inverse.gaussian, link: log
Response: price
Terms added sequentially (first to last)
Df Deviance Resid. Df Resid. Dev
NULL 53939 21.658
clarity 7 0.42625 53932 21.232
color 6 0.37550 53926 20.856
cut 4 0.11166 53922 20.745
depth 1 0.00131 53921 20.743
[1] 0.9999995
(Intercept) claritySI2 claritySI1 clarityVS2 clarityVS1 clarityVVS2
5158.7299923 1.3042114 1.0325144 0.9960687 0.9825261 0.9138429
clarityVVS1 clarityIF colorE colorF colorG colorH
0.7098747 0.8123089 0.9625351 1.1996904 1.3128347 1.3396138
colorI colorJ cutGood cutVery Good cutPremium cutIdeal
1.5311551 1.6314789 0.9329760 0.9566550 1.0509053 0.8445502
depth
0.9928889
[1] 1